The weakly interacting massive particle (WIMP) is one of the promising candidate of dark matter (DM) whose existence has been confirmed from various gravity effects [1]}, [2]}, [3]}. Until now only null results are reported by DM searching experiments which impose stringent bounds on the DM candidate [4]}, [5]}, [6]}, [7]}.
One way to probe the DM candidate (\(X^0\) ) at the Large Hadron Collider (LHC) is through the so-called “mono-X" channel in which a pair of DM candidates is produced in association with a jet or a photon radiated out from initial state partons [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}. However, as strongly correlated with DM direct detection experiments, the mono-X channels are highly constrained in DM direct search experiments [21]}, [22]}. Other ways are through the process of \(pp\rightarrow X^\pm X^0\)  and \(pp\rightarrow X^+X^-\) , where \(X^\pm \)  denotes the next-to-lightest dark particle. The collider signature relies on the mass split \(\Delta m\equiv m_{X^\pm }-m_{X^0}\) . If \(\Delta m\)  is much less than electroweak (EW) gauge bosons, i.e., \(\Delta m\ll m_{W/Z}\) , it yields a signal of long-lived particles or suddenly disappearing tracks [23]}, [24]}. When \(\Delta m > m_{W/Z}\) , it yields a collider signature of missing transverse momentum (\({\rm E}_{\rm T}\) ) plus either leptons
 [25]}, [26]}, [27]}, [28]}
or jets [29]}, [30]}, depending on how the EW gauge boson decays, where \({\rm E}_{\rm T}\)  predominantly originates from the DM candidates. Suffering from huge SM backgrounds, the potential of the process of \(pp\rightarrow X^\pm X^0\)  on probing the DM is limited [31]}.
